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31.
Yong-Long Wang 《International Journal of Theoretical Physics》2009,48(5):1422-1430
In the framework of Faddeev-Senjanovic (FS) path-integral quantization, CP
1 nonlinear σ model coupled to Non-Abelian Chern-Simons (CS) fields is quantized. Generalized canonical Ward identities (WI) are deduced
from the invariance of the canonical effective action under gauge transformations, which are obtained from the generators
of gauge transformations, including all first-class constraints, in Dirac’s sense. The generalized canonical WI has brief
form and is equivalent to canonical WI under gauge transformations in Dirac’s sense.
This project is supported by Foundation of National Natural Science (10671086), Foundation of Shandong Natural Science (Y2007A01)
and National Laboratory for Superlattices and Microstructures (CHJG200605). 相似文献
32.
33.
Barun Majumder 《Physics letters. [Part B]》2011,701(4):384-387
Recently Ali et al. (2009) [13] proposed a Generalized Uncertainty Principle (or GUP) with a linear term in momentum (accompanied by Planck length). Inspired by this idea we examine the Wheeler-DeWitt equation for a Schwarzschild black hole with a modified Heisenberg algebra which has a linear term in momentum. We found that the leading contribution to mass comes from the square root of the quantum number n which coincides with Bekenstein?s proposal. We also found that the mass of the black hole is directly proportional to the quantum number n when quantum gravity effects are taken into consideration via the modified uncertainty relation but it reduces the value of mass for a particular value of the quantum number. 相似文献
34.
A. Stern 《Physics letters. A》2011,375(25):2498-2502
We discuss alternatives to the usual quantization of a relativistic particle which result in discrete spectra for position and time operators. 相似文献
35.
V. P. Maslov 《Theoretical and Mathematical Physics》2002,131(2):666-680
We consider the Gibbs statistical ensemble. We introduce the statistical-weight operator
, construct the entropy operator
of the ensemble using the Boltzmann formula
, and define the free-energy operator. We find asymptotic expressions for free-energy eigenvalues with pair correlations taken into account in the limit as the number of systems in the ensemble tends to infinity. 相似文献
36.
J. Baszyński T. Toliński W. Kowalski A. Kowalczyk 《Czechoslovak Journal of Physics》2002,52(2):295-298
We studied the conductance of a point contact between a mechanically sharpened iron tip and a surface of the La0.7Sr0.3MnO3 perovskite electrode. The tip is fixed to a piezoelectric element and the conductance is measured as a function of the piezo voltage, which controls the tip pressing on the electrode. The height of steps between conductance plateaus is a multiple of the integer quantum e
2/h, characteristic for ferromagnetic materials in which the spin degeneracy is lifted. 相似文献
37.
Asiri Nanayakkara Nimali Ranatunga 《International Journal of Theoretical Physics》2002,41(7):1355-1368
A quantum dynamical equation is constructed as the limit of a sequence of functions (called Semiquantum momentum functions or SQMF). The quantum action variable J is defined as the limit of the sequence of contour integrals of SQMFs such that the quantization condition is J = n, where n is a nonnegative integer for eigenvalues and a noninteger for off eigenvalues. This quantization condition is exact and J is an analytic function of energy. Based on new definitions, an accurate numerical method is developed for obtaining eigenenergies. The method can be applied to both real and PT symmetric complex potentials. The validity and the accuracy of this new method is demonstrated with three illustrations. 相似文献
38.
Let X be a connected Riemann surface equipped with a projective structure
. Let E be a holomorphic symplectic vector bundle over X equipped with a flat connection. There is a holomorphic symplectic structure on the total space of the pullback of E to the space of all nonzero holomorphic cotangent vectors on X. Using
, this symplectic form is quantized. A moduli space of Higgs bundles on a compact Riemann surface has a natural holomorphic symplectic structure. Using
, a quantization of this symplectic form over a Zariski open subset of the moduli space of Higgs bundles is constructed. 相似文献
39.
The spaces of linear differential operators
acting on -densities on
and the space
of functions on
which are polynomial on the fibers are not isomorphic as modules over the Lie algebra Vect (n) of vector fields of n. However, these modules are isomorphic as sl(n + 1,)-modules where
is the Lie algebra of infinitesimal projective transformations. In addition, such an
-equivariant bijection is unique (up to normalization). This leads to a notion of projectively equivariant quantization and symbol calculus for a manifold endowed with a (flat) projective structure. We apply the
-equivariant symbol map to study the
of kth-order linear differential operators acting on -densities, for an arbitrary manifold M and classify the quotient-modules
. 相似文献
40.
Vladimir V. Kisil 《Acta Appl Math》1999,59(1):79-109
We describe a construction of wavelets (coherent states) in Banach spaces generated by admissible group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned. As an example, we consider operator-valued Segal–Bargmann-type spaces and the Weyl functional calculus. 相似文献